A new approach to multiple fault diagnosis: A combination of diagnostic matrices, graphs, algebraic and rule-based models. The case of two-layer models
Antoni Ligęza ; Jan Maciej Kościelny
International Journal of Applied Mathematics and Computer Science, Tome 18 (2008), p. 465-476 / Harvested from The Polish Digital Mathematics Library

The diagnosis of multiple faults is significantly more difficult than singular fault diagnosis. However, in realistic industrial systems the possibility of simultaneous occurrence of multiple faults must be taken into account. This paper investigates some of the limitations of the diagnostic model based on the simple binary diagnostic matrix in the case of multiple faults. Several possible interpretations of the diagnostic matrix with rule-based systems are provided and analyzed. A proposal of an extension of the basic, single-level model based on diagnostic matrices to a two-level one, founded on causal analysis and incorporating an OR and an AND matrix is put forward. An approach to the diagnosis of multiple faults based on inconsistency analysis is outlined, and a refinement procedure using a qualitative model of dependencies among system variables is sketched out.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:207900
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     title = {A new approach to multiple fault diagnosis: A combination of diagnostic matrices, graphs, algebraic and rule-based models. The case of two-layer models},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {18},
     year = {2008},
     pages = {465-476},
     zbl = {1167.68446},
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Antoni Ligęza; Jan Maciej Kościelny. A new approach to multiple fault diagnosis: A combination of diagnostic matrices, graphs, algebraic and rule-based models. The case of two-layer models. International Journal of Applied Mathematics and Computer Science, Tome 18 (2008) pp. 465-476. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv18i4p465bwm/

[000] Cordier M.-O., Dague P., Dumas M., Lévy F., Montmain J., Staroswiecki M., Travé-Massuyès L. (2000a). AI and automatic control approaches of model-based diagnosis: Links and underlying hypotheses, Proceedings of the IFAC Symposium SAFEPROCESS, Budapest, Hungary, pp. 274-279.

[001] Cordier M.-O., Dague P., Dumas M., Lévy F., Montmain J., Staroswiecki M., Travé-Massuyès L. (2000b). A comparative analysis of AI and control theory approaches to modelbased diagnosis, Proceedings of 14th European Conference on Artificial Intelligence, Berlin, Germany, pp. 136-140.

[002] Davis R. and Hamscher W. (1992). Model-based reasoning: Troubleshooting, in W. Hamscher, L. Console and J. de Kleer (Eds.), Readings in Model-Based Diagnosis, Morgan Kaufmann Publishers, San Mateo, CA, pp. 3-24.

[003] Frank P. (1990). Fault diagnosis in dynamic systems using analitical and knowledge-based redundancy - A survey and some new results, Automatica 26(3): 459-474. | Zbl 0713.93052

[004] Frank P. (1996). Analytical and qualitative model-based fault diagnosis - A survey and some new results, European Journal of Control 2(1): 6-28. | Zbl 0857.93015

[005] Fuster-Parra P. (1996). A model for causal diagnostic reasoning. Extended inference modes and efficiency problems, Ph.D. thesis, University of Balearic Islands.

[006] Hamscher W., Console L. and de Kleer J. (Eds.) (1992). Readings in Model-Based Diagnosis, Morgan Kaufmann, San Mateo, CA.

[007] Korbicz J., Kościelny J., Kowalczuk Z. and Cholewa W. (Eds.) (2004). Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin. | Zbl 1074.93004

[008] Kościelny J. M. (2001). Diagnosis of Automated Industrial Processes, Akademic Publishing House EXIT, Warsaw, (in Polish).

[009] Kościelny J. M. (2004a). Methodology of process diagnosis, in J. Korbicz, J. Kościelny, Z. Kowalczuk and W. Cholewa Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin, pp. 57-114.

[010] Kościelny J. M. (2004b). Models in process diagnosis, in J. Korbicz, J. Kościelny, Z. Kowalczuk and W. Cholewa, Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin, pp. 29-43.

[011] Ligęza A. (2004). Selected methods of knowledge engineering in system diagnosis, in J. Korbicz, J. Kościelny, Z. Kowalczuk and W. Cholewa Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin, pp. 633-668.

[012] Ligęza A. and Fuster-Parra P. (1997). And/or/not causal graphs - A model for diagnostic reasoning, International Journal of Applied Mathematics and Computer Science 7(1): 185-203. | Zbl 0881.90060

[013] Ligęza A. and Kościelny J. M. (2007a). Diagnosis of single and multiple faults. A combination of graph-based and algebraic approach, in R. Tadeusiewicz, A. Ligęza and M. Szymkat (Eds.), Computer Methods and Systems, Vol. CMS'2007, AGH University of Science and Technology, ONT, Cracow, pp. 123-128.

[014] Ligęza A. and Kościelny J. M. (2007b). Diagnosis of single and multiple faults. An analysis of algebraic approach based on diagnostic matrix and rule-based interpretations, in R. Tadeusiewicz, A. Ligęza and M. Szymkat (Eds.), Computer Methods and Systems, Vol. CMS'2007, AGH University of Science and Technology, ONT, Cracow, pp. 117-122.

[015] Ligęza A. and Kościelny J. M. (2007c). A new approach to multiple fault diagnosis. Combination of diagnostic matrices, graphs, algebraic and rule-based models. The case of two-layer models, in J. Korbicz, K. Patan and M. Kowal (Eds.), Fault Diagnosis and Fault Tolerant Control, Academic Publishing House EXIT, Warsaw, pp. 219-230. | Zbl 1167.68446

[016] Reggia J. A., Nau D. S. and Wang P. Y. (1983). Diagnostic expert system based on a set covering model, International Journal on Man-Machine Studies 19(5): 437-460.

[017] Reggia J. A., Nau D. S. and Wang P. Y. (1985). A formal model of diagnostic inference. Problem formulation and decomposition, Information Sciences 37(1-3): 227-256. | Zbl 0583.68046

[018] Reiter R. (1987). A theory of diagnosis from first principles, Artificial Intelligence 32(1): 57-95. | Zbl 0643.68122

[019] Tzafestas S. (1989a). System fault diagnosis using the knowledge-based methodology, in Tzafestas S. (Ed.) Knowledge-Based System Diagnosis, Supervision and Control, Plenum Press, New York, NY/London, pp. 509-595.

[020] Tzafestas S. (Ed.) (1989b). Knowledge-Based System Diagnosis, Supervision and Control, Plenum Press, New York, NY/London.